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132040514404530 = 23354176829155251
BaseRepresentation
bin11110000001011100010011…
…111101010000000010110010
3122022111221122110212010121000
4132001130103331100002302
5114301322433141421110
61144454324103142430
736545420016030144
oct3601342375200262
9568457573763530
10132040514404530
1139088082101866
1212986405144a16
13588a4a0628494
142486b1b680c94
15103ea242be1c0
hex781713f500b2

132040514404530 has 128 divisors (see below), whose sum is σ = 360703057478400. Its totient is φ = 34351335360000.

The previous prime is 132040514404453. The next prime is 132040514404543. The reversal of 132040514404530 is 35404415040231.

132040514404530 is a `hidden beast` number, since 1 + 3 + 20 + 40 + 5 + 144 + 0 + 453 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 850419405 + ... + 850574655.

It is an arithmetic number, because the mean of its divisors is an integer number (2817992636550).

Almost surely, 2132040514404530 is an apocalyptic number.

132040514404530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132040514404530 is an abundant number, since it is smaller than the sum of its proper divisors (228662543073870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132040514404530 is a wasteful number, since it uses less digits than its factorization.

132040514404530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232137 (or 232131 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 132040514404530 its reverse (35404415040231), we get a palindrome (167444929444761).

The spelling of 132040514404530 in words is "one hundred thirty-two trillion, forty billion, five hundred fourteen million, four hundred four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 76829 153658 155251 230487 310502 384145 460974 465753 691461 768290 776255 931506 1152435 1382922 1397259 1552510 2074383 2304870 2328765 2794518 3149989 3457305 4148766 4191777 4657530 6299978 6365291 6914610 6986295 8383554 9449967 10371915 12730582 13972590 15749945 18899934 19095873 20743830 20958885 28349901 31499890 31826455 38191746 41917770 47249835 56699802 57287619 63652910 85049703 94499670 95479365 114575238 141749505 170099406 171862857 190958730 283499010 286438095 343725714 425248515 572876190 850497030 859314285 1718628570 11927779079 23855558158 35783337237 59638895395 71566674474 107350011711 119277790790 178916686185 214700023422 322050035133 357833372370 489038942239 536750058555 644100070266 978077884478 1073500117110 1467116826717 1610250175665 2445194711195 2934233653434 3220500351330 4401350480151 4890389422390 7335584133585 8802700960302 13204051440453 14671168267170 22006752400755 26408102880906 44013504801510 66020257202265 132040514404530